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\(C^k\)-regularity for the local \(\bar\partial_b\)-complex on some model hypersurfaces - MaRDI portal

\(C^k\)-regularity for the local \(\bar\partial_b\)-complex on some model hypersurfaces (Q1964756)

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scientific article; zbMATH DE number 1406455
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English
\(C^k\)-regularity for the local \(\bar\partial_b\)-complex on some model hypersurfaces
scientific article; zbMATH DE number 1406455

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    \(C^k\)-regularity for the local \(\bar\partial_b\)-complex on some model hypersurfaces (English)
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    11 January 2001
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    The author derives new homotopy operators for the local tangential Cauchy-Riemann complex on some real hypersurfaces \(M\) defined in a neighborhood \(U\) of \(0\in\mathbb{C}^n\) and shows \(C^k\)-regularity up to the boundary for \(k= 1,2,\dots\)\ .
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    \(\overline\partial_b\)-complex
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    homotopy operators
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    \(C^k\)-regularity
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